# Problem: A hurricane wind blows across a 7.50 m x 11.2 m flat roof at a speed of 190 km/hr. The pressure difference between the inside and the outside of the roof is 1783 Pa.a) How much force is exerted on the roof?b) If the roof cannot withstand this much force, will it “blow in” or “blow out”?

###### FREE Expert Solution

Pressure is expressed as:

$\overline{){\mathbf{P}}{\mathbf{=}}\frac{\mathbf{F}}{\mathbf{A}}}$

The equation of continuity:

$\overline{){\mathbf{\rho }}{{\mathbf{A}}}_{{\mathbf{1}}}{{\mathbf{V}}}_{{\mathbf{1}}}{\mathbf{=}}{\mathbf{\rho }}{{\mathbf{A}}}_{{\mathbf{2}}}{{\mathbf{V}}}_{{\mathbf{2}}}}$

a)

Therefore, force F = PA

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###### Problem Details

A hurricane wind blows across a 7.50 m x 11.2 m flat roof at a speed of 190 km/hr. The pressure difference between the inside and the outside of the roof is 1783 Pa.
a) How much force is exerted on the roof?
b) If the roof cannot withstand this much force, will it “blow in” or “blow out”?